The generator matrix

 1  0  1  1  1  1  1  1  0  1 2X^2  1  1  1 2X^2+X  1  1 2X^2+2X  1  1 2X  1 2X^2+X  1  1  1  1  1  1 2X  1 X^2+X 2X  1  1  1  1  1  1  1 2X  1  1  1  1  1  1  0  1  1  1 2X^2+X  1 2X^2+X 2X^2  1  1 X^2+X  1  1 2X^2+X  1  1 2X^2+2X  1  1 X^2+X  1  1  1  1  1  X  X  0 2X^2  0 2X^2+2X X^2+2X  1
 0  1  1  2 2X^2+X 2X^2+X+2 2X^2+2X+1 2X  1 2X^2+X+1  1 2X^2+2 2X+2 2X^2  1 2X+1 2X^2+2X  1 2X^2+2X+1 2X  1 X+2  1  2 2X^2+1 2X+2  0  1 2X^2+X  1  X  1  1 2X^2+X+2 2X^2+X+1 2X X+1  0 2X^2+2X 2X^2+2X+2  1 X+1  2  X  1 2X^2+1 2X^2+1  1 2X^2+2X 2X^2+2X+1 X+1  1 2X+2  1  1 X^2+2X+1 2X^2+X+1  1 2X+1 2X^2+X+2  1 2X^2+2X 2X+1  1 X^2+2X+1  1  1 X+1 2X^2+2X+1 2X+1 2X^2+X+1 2X^2+X  1 2X^2+2X  1  1  1  1  1 2X^2+X+2
 0  0 2X  0 2X^2 2X^2 X^2  0 2X^2+2X 2X^2+X X^2+X 2X^2+X 2X^2+2X X^2+X X^2+2X  X  X 2X^2+X 2X^2+2X X^2+2X 2X^2+2X X^2+X 2X^2 2X  0 X^2 X^2+2X  X X^2+2X 2X  X X^2+X 2X^2 2X^2+2X 2X^2+X X^2+2X X^2+2X 2X^2+2X  X X^2+X  0 X^2 2X^2 X^2+X 2X^2+X 2X^2+2X X^2  0 2X  0 2X 2X^2 2X^2 2X^2+2X  X 2X^2  0 X^2+2X 2X X^2+2X  0 2X^2  X  X X^2+X X^2+2X  X 2X^2+2X X^2 2X^2 2X^2+2X X^2+X X^2 2X^2+2X 2X^2+X X^2+X X^2+2X 2X^2  0  0
 0  0  0 X^2 X^2  0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2  0  0 X^2  0 2X^2  0 2X^2  0 X^2 2X^2 X^2  0 X^2  0  0 X^2 2X^2 X^2  0  0  0 X^2  0 2X^2 2X^2 X^2 2X^2 2X^2  0  0 2X^2 2X^2  0 2X^2 2X^2 X^2 X^2  0 2X^2 X^2  0 2X^2  0 2X^2  0 2X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 2X^2  0 X^2  0 2X^2 X^2 X^2

generates a code of length 80 over Z3[X]/(X^3) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+1162x^153+342x^154+936x^155+2262x^156+792x^157+1764x^158+2610x^159+738x^160+1710x^161+2712x^162+630x^163+1170x^164+1488x^165+396x^166+234x^167+468x^168+18x^169+18x^170+130x^171+36x^174+18x^177+26x^180+12x^183+8x^189+2x^198

The gray image is a linear code over GF(3) with n=720, k=9 and d=459.
This code was found by Heurico 1.16 in 73.6 seconds.